Solved: The pumping unit is used to recover oil. When the

Chapter 6, Problem 6-86

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QUESTION:

The pumping unit is used to recover oil. When the walking beam ABC is horizontal, the force acting in the wireline at the well head is 250 lb. Determine the torque M which must be exerted by the motor in order to overcome this load. The horse-head C weighs 60 lb and has a center of gravity at \(G_{C}\). The walking beam ABC has a weight of 130 lb and a center of gravity at \(G_{B}\), and the counterweight has a weight of 200 lb and a center of gravity at \(G_{W}\). The pitman, AD, is pin connected at its ends and has negligible weight.

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QUESTION:

The pumping unit is used to recover oil. When the walking beam ABC is horizontal, the force acting in the wireline at the well head is 250 lb. Determine the torque M which must be exerted by the motor in order to overcome this load. The horse-head C weighs 60 lb and has a center of gravity at \(G_{C}\). The walking beam ABC has a weight of 130 lb and a center of gravity at \(G_{B}\), and the counterweight has a weight of 200 lb and a center of gravity at \(G_{W}\). The pitman, AD, is pin connected at its ends and has negligible weight.

ANSWER:

Step 1 of 4

First we will draw the Free-Body Diagram(Figure a).

                                         Figure a.

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